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Finding the Third Proportional to 2,117 and 2,639

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Solution

The third proportional to 2,117 and 2,639 is: 3,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117 : 2,639 = 2,639 : x
  2. Step 2: Convert to fraction form
    2,117/2,639 = 2,639/x
  3. Step 3: Cross multiply
    2,117x = 2,639 × 2,639
  4. Step 4: Simplify right side
    2,117x = 6,964,321
  5. Step 5: Solve for x
    x = 6,964,321/2,117
  6. Step 6: Final answer
    x = 3,289.71

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.